A community for students.
Here's the question you clicked on:
 0 viewing
rainbow22
 3 years ago
Find the limit to 0 of....
[(e^2x)1]/x
Is it possible to do this w/out a calculator?
rainbow22
 3 years ago
Find the limit to 0 of.... [(e^2x)1]/x Is it possible to do this w/out a calculator?

This Question is Closed

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0do you know l`hopital rule yet?

rainbow22
 3 years ago
Best ResponseYou've already chosen the best response.0You can't have a zero in the denominater. The answer is 2

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0dont just give answer, help them find answer....I dont know how to solve this wthout lhopitals rule

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.1@zzr0ck3r yeah, I'm trying to find a direct way to do this, without l'Hopital's

rainbow22
 3 years ago
Best ResponseYou've already chosen the best response.0idk, I'm just practicing for a test and this question was online...

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0you nee to know how to tke a derivative to do this, you will lear that soon

rainbow22
 3 years ago
Best ResponseYou've already chosen the best response.0I know how to take a derivative, but how will that help me solve it?

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0take the derivative of the num and the the denom. then run the limit

zzr0ck3r
 3 years ago
Best ResponseYou've already chosen the best response.0you will have (2e^2x)/1 now run the limi

LolWolf
 3 years ago
Best ResponseYou've already chosen the best response.1Oh, I've got one: Well we know: \[ e^x1\sim x\\ x\to 0 \] So: \[ \lim_{x\to 0}\frac{e^{2x}1}{x}=\lim_{u\to 0}\frac{e^{u}1}{\frac{1}{2}u} \]Where \(u=2x\) Due to that: \[ \lim_{x\to 0}\frac{u}{\frac{1}{2}u}=\frac{1}{\frac{1}{2}}=2 \]
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.